I was born with this condition. Left handed, Right Eye dominant.
My father was born left handed and left eye dominant.
When he was teaching me to shoot, he noticed that I was right eye dominant. I was devastated that I couldn't shoot like my father.
My father was a life long hunter and gun enthusiast, but he was also my first coach and I was his only son.
My father spun me a story about how great it was that I was left handed, off handed, but by being able to shoot with my right, I was TWICE as effective as anyone else with a gun in their hand. He sold it with a bard's storytelling ability and I was soon PROUD of the condition.
I shoot everything right handed, but my left hand is what I use to reload my pistols and I have learned to be deadly fast because I am using my "dominant" hand for both reloading and protecting my weapon.
When faced with a force on force drill with a simulation weapon, my strong hand was always in front of me against my "attacker" and I was able to keep even larger attackers away from my weapon because my "strong" hand was twice as effective against the attacking force as someone using their "off" hand.
My advice is to embrace your condition and "learn" to shoot pistols with your right hand, leaving your left hand free for OHHHHH so much more interesting and effective activities.